Books that mix modern physics with algebra and geometry

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Discussion Overview

The discussion centers around the search for books that integrate modern physics with mathematical concepts, specifically algebra and geometry. Participants are interested in resources that explore topics such as symmetry in physics, group theory, and the mathematical properties of the Poincaré group and gauge transformations.

Discussion Character

  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant expresses a need for books that cover modern aspects of physics with a mathematical approach, particularly focusing on symmetry and group theory.
  • A link to a book on Springer is provided, though its relevance is not elaborated upon.
  • Another participant recommends "Quantum Theory of Fields, vol. 1" by Weinberg for insights on the Poincaré group, mentioning that it is also included in their lecture notes on quantum field theory.
  • A further suggestion is made to check out "Geometry, Topology, and Physics" by Nakahara, especially for those with a strong mathematical background.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of the suggested books to the topic of algebra and geometry in modern physics, but there is no consensus on a single best resource or approach.

Contextual Notes

Participants have not specified the depth of mathematical knowledge required for the recommended books, nor have they clarified the specific aspects of symmetry or group theory they are most interested in.

Laique94
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Hi
I'm an advanced undergraduate physics student and I'm currently searching books for my career project.
The topic I selected is titled: Algebra and geometry in modern physics.
So I'm currently looking for books that cover modern aspects of physics in a more mathematical approx.
In specific I'm looking for some mathematical books that discuss physics symmetry (theory of groups applied to symmetry, algebra properties of the Poincaré group or gauge transformations, and so on)
Everything that can be related is helpful.
Thanks
 
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